Existence of C1 critical subsolutions of the Hamilton-Jacobi equation
By A. Fathi, Antonio Siconolfi. 2004
190 citations recorded by the source corpus.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f0a79db7fa11aff4fbe584395f301ee91c7efdfb
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In Geometry and Topology
- Alessio Figalli
- Ludovic Rifford
- Hitoshi Ishii
- A. Fathi
- P. Bernard
- Antonio Siconolfi
- Boris Buffoni
- Shin-ichi Ohta
In Statistical and Nonlinear Physics
- Hitoshi Ishii
- Ludovic Rifford
- Hung Vinh Tran
- A. Fathi
- Alessio Figalli
- Antonio Siconolfi
- P. Bernard
- Boris Buffoni
Citations in the corpus
- On the Hausdorff dimension of the mather quotient (2007, methodology): “In this section we recast the above results in terms of viscosity solutions of the Hamilton-Jacobi as is done in [11, 16, 15].”
- A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians (2012, unknown): “[11] A. Fathi, A. Siconolfi, Existence of C1 critical subsolutions of the Hamilton-Jacobi equation, Invent.”
- PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians (2005, background): “whose closure is disjoint from A. This generalizes the main theorem of [ 15 ].”
- Viscosity solutions of general viscous Hamilton–Jacobi equations (2013, background): “orem I.1]. See also Barles and Da Lio [6] for results on state constraints problems as well as problems with more general boundary conditions. In case A≡ 0, we refer the readers to Fathi and Siconolfi [13] and Mitake [19]. Theorem 4.2. Let U⊆ Rd be open and connected and f∈ C0,1 loc(U) ∩ L∞(U). Define”
- ASYMPTOTIC SOLUTIONS FOR LARGE-TIME OF HAMILTON-JACOBI EQUATIONS IN EUCLIDEAN $n$ SPACE(Viscosity Solution Theory of Differential Equations and its Developments) (2007, methodology): “See [15], [17], [18], [12] for results on the existence of critical curves.”
- Optimal mass transportation and Mather theory (2004, background): “3 Optimal C(1) sub-solution The following result, on which a large part of the present paper is based, is inspired from [21], but seems new in the present context.”